Nontransitive measurable utility

A new theory of preferences under risk is presented that does not use the transitivity and independence axioms of the von Neumann-Morgenstern linear utility theory. Utilities in the new theory are unique up to a similarity transformation (ratio scale measurement). They key to this generalization of the traditional linear theory lies in its representation of binary preferences by a bivariate rather than univariate real valued function. Linear theory obtains a linear function u on a set P of probability measures for which u(p) > u(q) if and only if p is preferred to q. The new theory obtains a skew-symmetric bilinear function φ on P × P for which φ(p, q) > 0 if and only if p is preferred to q. Continuity, dominance, and symmetry axioms are shown to be necessary and sufficient for the new representation.     

Foundations of risk measurement. II. Effects of gains on risk

This paper presents the second part of a two-part study on axiomatizations of perceived risk. The first part (P. C. Fishburn, Foundations of risk measurement, I. Risk as probable loss. Mimeo., Bell Laboratories, 1981) focussed on risk as probable loss. The second part considers measures of risk that include effects of gains on perceived risk. It adopts the position that increased gains can reduce the risk of fixed probable losses without completely negating this risk. Moreover, every prospect that has no chance of yielding a loss is presumed to have no risk. Several numerical measures of risk are axiomatized. The more specialized are separable in gains and losses. Further specializations isolate the effects of loss and gain probabilities.     

A test of the Sophisticated Guessing Theory of word perception

Under difficult viewing conditions, a letter in a familiar word can be perceived more accurately than the same letter alone or in a string of unrelated letters. Sophisticated Guessing Theory asserts that perception is more accurate when a letter appears in a word because its identity is constrained by the identity of neighboring context letters. Experiment 1 tested the following prediction: A letter in a word should be perceived more accurately in strongly constraining word contexts than in weakly constraining word contexts. No such trend was found using a number of different measures of contextual constraint and perceptual accuracy. Experiment 2 verified that, with the same conditions used in Experiment 1 to test Sophisticated Guessing Theory, a strong perceptual advantage could be obtained for letters in words vs. letters alone or in unrelated-letter strings. Several alternative theories of word perception are discussed. The most attractive asserts that for words an additional higher-level perceptual code is formed that is more resistant to degradation than the code formed for letters.     

Memory without organization: Properties of a model with random storage and undirected retrieval

A very simple spatial model of memory storage and retrieval is described, analyzed, and discussed. The postulated memory is without organization in the sense that neither the place of storage nor the order of search during retrieval is influenced by the nature of the information being stored or retrieved. The memory consists of a three-dimensional space containing a large number of homogeneously distributed loci at which data may be stored. Data received near each other in time are stored at nearby locations. Access is by an undirected expanding-sphere search. The model exhibits a wide variety of quantitatively and qualitatively humanlike behavior with respect to both standard learning and forgetting paradigms and with respect to frequency effects and other phenomena in word processing.     

Learning on a response continuum: Comparison of a linear change and a functional learning model

Two reinforcement schedules were used to compare the predictive validity of a linear change model with a functional learning model. In one schedule, termed “convergent,” the linear change model predicts convergence to the optimum response, while in the other, termed “divergent,” this model predicts that a subject's response will not converge. The functional learning model predicts convergence in both cases. Another factor that was varied was presence or absence of random error or “noise” in the relationship between response and outcome. In the “noiseless” condition, in which no noise is added, a subject could discover the optimum response by chance, so that some subjects could appear to have converged fortuitously. In the “noisy” conditions such chance apparent convergence could not occur.The results did not unequivocally favor either model. While the linear change model's prediction of nonconvergence in the divergent conditions (particularly the “noisy” divergent condition) was not sustained, there was a clear difference in speed of convergence, counter to the prediction inferred from the functional learning model. Evidence that at least some subjects were utilizing a functional learning strategy was adduced from the fact that subjects were able to “map out” the relation between response and outcome quite accurately in a follow-up task. Almost all subjects in the “noisy” conditions had evidently “learned” a strong linear relation, with slope closely matching the veridical one.The data were consistent with a hybrid model assuming a “hierarchy of cognitive strategies” in which more complex strategies (e.g., functional learning) are utilized only when the simpler ones (e.g., a linear change strategy) fail to solve the problem.     

Cognitive processes in person perception: Retrieval of personality trait and behavioral information

The processes people use to retrieve information about another person's behavior and personality were investigated. Subjects viewed different lengths of segments from videotaped sequences of actors' behaviors. The subjects' reaction times to questions about the actors' behaviors and about personality traits were both an increasing function of the duration of the segment about which the questions were asked. These data were taken as an indication that people do, in general, carefully examine the contents of their memories in order to respond to questions about another person. In particular, an exhaustive serial search model was supported. Additional data and analyses demonstrated that relatively abstract trait terms usually were answered on the basis of the exhaustive search, while relatively specific trait terms were not. A two-stage process model was proposed to explain the differences in the results for the two types of trait terms.     

Toward a theory of apractic syndromes

Theoretical development on human motor behavior has occurred largely independently of data on pathological movement disorders. This paper represents an initial attempt to interface findings from studies of apraxia and those of normal motor behavior with a view to formulating a common theoretical framework. Such an integration may ultimately aid in understanding the nature of skill acquisition and provide insights into the organization of motor systems. Three putative theoretical models of movement control are discussed with reference to apractic syndromes. The most commonly accepted view—the hierarchy—possesses properties such as linear transitivity and unidirectionality of information flow that render it inadequate in explaining functional plasticity in the central nervous system. The heterarchy, which incorporates reciprocity of function and circular transitivity, is a more likely candidate but suffers from an inability to regulate the degrees of freedom of the system. Our favored candidate is the coalition model which embodies heterarchical principles, but in addition, offers a solution to the problems of degrees of freedom and context for motor systems. Evidence is reviewed from apraxia of speech and limbs in terms of a coalitional style of control and an experimental approach, consonant with coalitional organization, is developed. We promote the claim that an understanding of apractic behavior—and perhaps motor systems in general—will benefit when clinicians and experimenters embrace a theory of context and constraints rather than a theory of commands as is currently in vogue.     

A right-ear advantage for dichotic listening in bilingual children

A dichotic listening task was administered to two groups of right-handed Hispanic children enrolled in bilingual education classes. The younger group's mean age was 9:6, the older group's was 13:6. Two dichotic tapes were used, one in English, one in Spanish, consisting of 60 pairs of words per tape. The words were comparable across languages in terms of frequency, grammatical function, and phonetic composition. The results showed clear and equal right-ear advantages for both groups of subjects and for both languages. As expected, older children scored higher than younger ones, and performance on Spanish was better than on English. Neither of these effects interacted with the ear advantage, however. Ear difference scores did not correlate with proficiency in the second language (as measured by performance on the English tape), but there was a significant correlation (r = .58) between the degree of asymmetry in the two languages. These findings indicate that the left hemisphere is primarily (and equally) involved in processing both languages of bilinguals, and that this pattern appears to remain stable in development.     

Beliefs,personality, and person perception: A theory of individual differences

The hypothesis tested was that we attend to aspects of our interpersonal environment that correspond to prominent features of our own personality. One hundred fifty-four men and women rated the way in which they typically communicate and interact with significant other people (e.g., mother, father, lover) on 11 bipolar adjective scales and the way in which those other people interact with them. An individual differences multidimensional scaling analysis of interstimulus distances among the significant other people based on the ratings of the subject's interaction with those other people indicated that subjects who weighted a particular dimension tended to think they possessed a personality trait corresponding to the dimension. Reasons for the individual difference hypothesis were given.     

The influence of flavor preexposure and test interval on conditioned taste aversions in the rat

The effects of flavor preexposure and test interval on conditioned taste aversions were examined in four experiments. In the first three experiments, prior experience with a flavor different from that used as a conditioned-stimulus (CS) produced attenuated aversions when testing occurred after a 1-day interval but not after a 21-day interval. Preexposure to the same stimulus used as a CS produced attenuated aversions at both 1- and 21-day intervals. In Experiment 4, a delay interval between flavor preexposure and conditioning eliminated the attenuating effect of preexposure, but only when different stimuli were used for preexposure and conditioning. These data could not be easily accounted for by contemporary interpretations of preexposure as an event that interferes with subsequent acquisition of a conditioned aversion. An alternative retrieval interference hypothesis was outlined.     

Aphasic adults' use of heuristic and structural linguistic cues for sentence analysis

Eight aphasic adults with relatively preserved auditory comprehension and 12 normal adults were tested for their ability to analyze sentences in which the functional relations between the verb and nouns was either directly reflected by word order expectancies, or marked by a functor or non-NVN word order. The subjects' task was to designate the agent of each sentence. Results indicated that aphasics utilize word order expectancies but are impaired in their ability to exploit functors and particularly, word order markers for sentence analysis. Results are discussed in terms of aphasics' use of heuristic versus structural linguistic cues for interpreting sentences.     

Iconic reading in a case of alexia without agraphia caused by a brain tumor: a tachistoscopic study

The lack of nonverbal reading comprehension in the clinical disconnection syndrome, alexia without agraphia, has been contradictory to the relative reading comprehension of the right hemisphere in split brains. We report a 39-year-old patient with verbal alexia without agraphia caused by brain tumor. On rapid tachistoscopic presentation of object names, he denied seeing anything but showed nonverbal reading comprehension by pointing to the corresponding objects. He lost this ability when he recovered ability to name individual letters of the object names. Our results suggest that even partial verbal reading such as the naming of single letters makes demonstration of iconic reading impossible and that total functional disconnection from verbalization, as initially noted in this case or in split brain studies, is necessary to show nonverbal reading comprehension.     

Using conjoint-measurement models to investigate a theory about probabilistic information processing

A theory of how opinions are formed and revised on the basis of probabilistic evidence is presented. The decision maker is viewed as a limited information processor who attends to the dimensions of a sample of equivocal information in a sequential fashion, beginning with the most salient dimension and continuing in decreasing order of salience. The contribution of each dimension level to the final opinion depends on the strength of association between that level and each of the two hypotheses under consideration. This theory is represented formally as an additive-difference model, various special cases of which correspond to other algebraic models in the literature. Two of the special cases were empirically investigated under varying levels of experience and payoffs, using the techniques of conjoint-measurement theory and ordinal data from individual subjects. The data provided reasonably good support for the models under all conditions investigated, and in addition showed interesting effects on salience and on processing of the independent variables.     

Developmental dyslexia: Electrophysiological evidence of clinical subgroups

Event-related potentials (ERPs) to word and to musical-chord stimuli were recorded in 13 dyslexic boys and 13 age-matched normal readers. Normal readers and dyslexics whose reading handicaps involved visual-spatial processing deficits had greater word versus musical-chord ERP waveform differences over the left as compared to the right hemisphere. Dyslexics whose reading difficulties were related to auditory-verbal processing deficits did not exhibit this asymmetry. These results are interpreted as supportive of the hypothesis that the latter group of dyslexics has failed to develop normal left hemisphere specialization for processing of auditory-linguistic material.